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Finding the Fourth Proportional to 37,124, 55,546.50 and 26,052.30

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Solution

The fourth proportional to 37,124, 55,546.50 and 26,052.30 is: 38,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,124 : 55,546.50 = 26,052.30 : x
  2. Step 2: Convert to fraction form
    37,124/55,546.50 = 26,052.30/x
  3. Step 3: Cross multiply
    37,124x = 55,546.50 × 26,052.30
  4. Step 4: Simplify right side
    37,124x = 1,447,114,081.95
  5. Step 5: Solve for x
    x = 1,447,114,081.95/37,124
  6. Step 6: Final answer
    x = 38,980.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.